Answer:
[2 5 0]
[-7 -11/2 12]
Step-by-step explanation:
We want to perform elementary row operation represented by R2 - ½R1 on matrix A in the figure attached.
Now, matrix A is given as;
[2 5 0]
[-6 -3 12]
Now, R1 is row 1 = [2 5 0]
R2 is row 2 = [-6 -3 12]
Thus, R2 - ½R1 = [-6 -3 12] - ½[2 5 0]
This gives;
[-6 -3 12] - [1 5/2 0] = [-7 -11/2 12]
Now,[-7 -11/2 12] will be the new row 2 since it's just an elementary row operation we did on the Matrix A.
Thus, the new matrix is now;
[2 5 0]
[-7 -11/2 12]
By evaluating the given relation, we conclude that the correct options are A, D, and G.
<h3>
How to check if the points are on the graph?</h3>
We have the relation:
k = ∛(V/7)
Such that this relation gives us pairs of the form (V, k).
So, to check if the points belong to the graph of the relation, we need to evaluate the points on the given relation and see if the relation is true.
A) (0, 0) gives:
Evaluating in V = 0
k = ∛(0/7) = 0
So this point belongs.
B) (1, 1) gives:
k= ∛(1/7) = 0.52
So we have the point (1, 0.52) and the point (1, 1) then does not belong to the graph.
We just need to do that for all the points, evaluate V and see if k gives the same value as in the point.
With this method, we will see that the correct options are:
D) (7, 1)
k= ∛(7/7) = 1
G) (56, 2)
k= ∛(56/7) = ∛(8) = 2
If you want to learn more about evaluations, you can read:
brainly.com/question/4344214
Answer:
hope you like my answer 4.24264
Given:
The expression is
To find:
The value after condense the logarithm.
Solution:
We have,
Using properties of logarithm, we get
![[\because \log x^n=n\log x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Clog%20x%5En%3Dn%5Clog%20x%5D)
![[\because \log (ab)=\log a+\log b]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Clog%20%28ab%29%3D%5Clog%20a%2B%5Clog%20b%5D)
Therefore, the required value is 
.
